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Finding the Third Proportional to 76,566,500 and 117,688,014

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Solution

The third proportional to 76,566,500 and 117,688,014 is: 180,894,629.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,566,500 : 117,688,014 = 117,688,014 : x
  2. Step 2: Convert to fraction form
    76,566,500/117,688,014 = 117,688,014/x
  3. Step 3: Cross multiply
    76,566,500x = 117,688,014 × 117,688,014
  4. Step 4: Simplify right side
    76,566,500x = 13,850,468,639,264,196
  5. Step 5: Solve for x
    x = 13,850,468,639,264,196/76,566,500
  6. Step 6: Final answer
    x = 180,894,629.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.